112112131311361 has 2 divisors, whose sum is σ = 112112131311362. Its totient is φ = 112112131311360.

The previous prime is 112112131311347. The next prime is 112112131311379. The reversal of 112112131311361 is 163113131211211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79152694368400 + 32959436942961 = 8896780^2 + 5741031^2 .

It is a cyclic number.

It is not a de Polignac number, because 112112131311361 - 2²¹ = 112112129214209 is a prime.

It is not a weakly prime, because it can be changed into another prime (112112131318361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56056065655680 + 56056065655681.

It is an arithmetic number, because the mean of its divisors is an integer number (56056065655681).

Almost surely, 2^{112112131311361} is an apocalyptic number.

It is an amenable number.

112112131311361 is a deficient number, since it is larger than the sum of its proper divisors (1).

112112131311361 is an equidigital number, since it uses as much as digits as its factorization.

112112131311361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 648, while the sum is 28.

Adding to 112112131311361 its reverse (163113131211211), we get a palindrome (275225262522572).

The spelling of 112112131311361 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred thirty-one million, three hundred eleven thousand, three hundred sixty-one".